Advances in Mathematics Education Series Editors Gabriele Kaiser, University of Hamburg, Hamburg, Germany Bharath Sriraman, The University of Montana, Missoula, MT, USA International Editorial Board Ubiratan D Ambrosio (São Paulo, Brazil) Jinfa Cai (Newark, NJ, USA) Helen Forgasz (Melbourne, Victoria, Australia) Jeremy Kilpatrick (Athens, GA, USA) Christine Knipping (Bremen, Germany) Oh Nam Kwon (Seoul, Korea)
More information about this series at www.springer.com/series/8392
Roza Leikin Bharath Sriraman Editors Creativity and Giftedness Interdisciplinary perspectives from mathematics and beyond
Editors Roza Leikin Faculty of Education RANGE Center, University of Haifa Haifa, Israel Bharath Sriraman Department of Mathematical Sciences The University of Montana Missoula, Montana, USA ISSN 1869-4918 ISSN 1869-4926 (electronic) Advances in Mathematics Education ISBN 978-3-319-38838-0 ISBN 978-3-319-38840-3 (ebook) DOI 10.1007/978-3-319-38840-3 Library of Congress Control Number: 2016947794 Springer International Publishing Switzerland 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
Contents 1 Introduction to Interdisciplinary Perspectives to Creativity and Giftedness... 1 Roza Leikin and Bharath Sriraman Part I Perspectives on Creativity 2 Creativity, Imagination, and Early Mathematics Education... 7 Maciej Karwowski, Dorota M. Jankowska, and Witold Szwajkowski 3 Formative Assessment of Creativity in Undergraduate Mathematics: Using a Creativity-in-Progress Rubric (CPR) on Proving... 23 Milos Savic, Gulden Karakok, Gail Tang, Houssein El Turkey, and Emilie Naccarato 4 Teacher s Views on Modeling as a Creative Mathematical Activity... 47 Gudbjorg Palsdottir and Bharath Sriraman 5 The Prominence of Affect in Creativity: Expanding the Conception of Creativity in Mathematical Problem Solving... 57 Eric L. Mann, Scott A. Chamberlin, and Amy K. Graefe 6 When Mathematics Meets Real Objects: How Does Creativity Interact with Expertise in Problem Solving and Posing?... 75 Florence Mihaela Singer and Cristian Voica 7 Constraints, Competency and Creativity in the Classroom... 105 Catrinel Haught-Tromp and Patricia D. Stokes v
vi Contents 8 Convergence in Creativity Development for Mathematical Capacity... 117 Ai-Girl Tan and Bharath Sriraman 9 The Origin of Insight in Mathematics... 135 Reuben Hersh and Vera John-Steiner 10 Creativity in Doubt: Toward Understanding What Drives Creativity in Learning... 147 Ronald A. Beghetto and James B. Schreiber Part II Perspectives on Giftedness 11 What Is Special About the Brain Activity of Mathematically Gifted Adolescents?... 165 Roza Leikin, Mark Leikin, and Ilana Waisman 12 Psychological and Neuroscientific Perspectives on Mathematical Creativity and Giftedness... 183 David H. Cropley, Martin Westwell, and Florence Gabriel 13 What Have We Learned About Giftedness and Creativity? An Overview of a Five Years Journey... 201 Demetra Pitta-Pantazi 14 The Interplay Between Excellence in School Mathematics and General Giftedness: Focusing on Mathematical Creativity... 225 Miriam Lev and Roza Leikin 15 Mathematically Gifted Education: Some Political Questions... 239 Alexander Karp Part III Commentary 16 Commentary on Interdisciplinary Perspectives to Creativity and Giftedness... 259 Bharath Sriraman and Roza Leikin Index... 265